SOLUTION: Derive the quadratic formula by completing the square for: ax squared + bx + c = 0

Question 31789: Derive the quadratic formula by completing the square for:
ax squared + bx + c = 0
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Ready?
Subtract c from both sides of the equation.
Divide both sides by a.
Complete the square in the x-terms by adding the square of half the x-coefficient to both sides.
Factor the left side of the equation.
Simplify the right side.
Take the square root of both sides.
Subtract from both sides.
Simplify.

RELATED QUESTIONS
derive the quadratic formula by completing the square. ax^2 + bx + c =... (answered by Edwin McCravy,ikleyn)

Begin with ax^2 + bx + c = 0 and derive the quadratic formula by completing the square (answered by funmath)

begin with ax2+bx+c=0 and derive the quadractic formula by completing the... (answered by jim_thompson5910)

derive the quadratic formula from... (answered by jim_thompson5910)

Show how to derive the quadratic formula from a basic quadratic equation {{{ ax^2+bx+c=0... (answered by josgarithmetic,ikleyn)

Derive the quadratic equation formula from the equation ax^2+bx+c=0.. I tried to derive... (answered by ikleyn)

Prove the quadratic formula by completing the square.... (answered by jsmallt9)

can any quadratic function of the form y=ax^2+bx+c be changed into a quadratic function... (answered by drk)

When using the quadratic formula to solve a qadratic equation ax(squared)+bx+c=0, the... (answered by scianci)